9.) Let E be the tetrahedron with vertices: (0,0,0), (3, 2,0), (0,3,0), (0, 0,2). E is bounded by four planes: z = 0, x=0, -2x + 3y = 0, 2 3 (3,2,0) (a) V(E)= Y (b) Average of f(x, y, z) = x + 2y - z on E is: 2x + 6y +9z = 18.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 7RE
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9.) Let E be the tetrahedron with vertices: (0, 0, 0), (3, 2,0), (0, 3,0), (0, 0, 2).
E is bounded by four planes: z = 0,
x = 0,
-2x + 3y = 0,
T
2
3
13,2,0)
(a) V(E)=
Y
(b) Average of f(x, y, z) = x + 2y - z on E is:
2x+6y +9z = 18.
Transcribed Image Text:9.) Let E be the tetrahedron with vertices: (0, 0, 0), (3, 2,0), (0, 3,0), (0, 0, 2). E is bounded by four planes: z = 0, x = 0, -2x + 3y = 0, T 2 3 13,2,0) (a) V(E)= Y (b) Average of f(x, y, z) = x + 2y - z on E is: 2x+6y +9z = 18.
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